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Finding the Fourth Proportional to 20,426.41, 30,596.52 and 9,342.41

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Solution

The fourth proportional to 20,426.41, 30,596.52 and 9,342.41 is: 13,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.41 : 30,596.52 = 9,342.41 : x
  2. Step 2: Convert to fraction form
    20,426.41/30,596.52 = 9,342.41/x
  3. Step 3: Cross multiply
    20,426.41x = 30,596.52 × 9,342.41
  4. Step 4: Simplify right side
    20,426.41x = 285,845,234.41
  5. Step 5: Solve for x
    x = 285,845,234.41/20,426.41
  6. Step 6: Final answer
    x = 13,993.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.